47735856 has 240 divisors, whose sum is σ = 167132160. Its totient is φ = 12418560.

The previous prime is 47735843. The next prime is 47735861. The reversal of 47735856 is 65853774.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (705600) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672301 + ... + 672371.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^47735856 is an apocalyptic number.

47735856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47735856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

47735856 is an abundant number, since it is smaller than the sum of its proper divisors (119396304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47735856 is a wasteful number, since it uses less digits than its factorization.

47735856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 47735856 is about 6909.1139808227. The cubic root of 47735856 is about 362.7562509976.

The spelling of 47735856 in words is "forty-seven million, seven hundred thirty-five thousand, eight hundred fifty-six".